基于简单碰撞理论煤粉燃烧动力学模型的研究--PART Ⅱ:颗粒表面的氧气浓度分布模型

为了较准确地预报炉内煤粉燃烧速率,正确区分TGA中滞止煤粉表面与炉内载流煤粉表面氧气浓度的变化规律是非常关键的。从TGA中非稳态条件下坩埚内颗粒表面氧气浓度分布的数理解知,煤样的氧化过程是同时进行的,只是上部的氧化速率大一些,底部的氧化速率小一些;同一样品,同一升温速率,试样的堆积厚度的差异,会影响实验结果的重复性。分析表明,在初始和反应结束时,坩埚内颗粒表面氧气浓度等于环境浓度;反应速率达到最大值时,颗粒表面氧气浓度达到最小值。颗粒在炉内流动燃烧过程中,环境中氧气浓度值是单调减少的,煤焦表面氧的浓度是非线性变化的。     

液体对微振动的放大效应

根据表面波声光效应的原理,实验上建立了固体表面微振动的激光衍射测量系统.当激光斜入射到微振动引起的液体表面波上,观察到了清晰、反衬度非常高的衍射图样.利用MATLAB软件对拍摄的衍射图样进行扫描,得到了衍射光斑的光强分布图,并根据衍射图样宽度与表面波振幅的解析关系式,求出了液体表面波的振幅,其大小在微米量级.改变样品池中液体的深度,测得不同深度下液体表面波的振幅,给出了表面波振幅与液体深度之间的解析关系,并发现了液体对微振动的放大效应.利用液体对微振动的放大效应,求出了固体表面微振动的振幅,实现了固体表面微振动的探测.     

液体对微振动的放大效应

根据表面波声光效应的原理,实验上建立了固体表面微振动的激光衍射测量系统.当激光斜入射到微振动引起的液体表面波上,观察到了清晰、反衬度非常高的衍射图样.利用MATLAB软件对拍摄的衍射图样进行扫描,得到了衍射光斑的光强分布图,并根据衍射图样宽度与表面波振幅的解析关系式,求出了液体表面波的振幅,其大小在微米量级.改变样品池中液体的深度,测得不同深度下液体表面波的振幅,给出了表面波振幅与液体深度之间的解析关系,并发现了液体对微振动的放大效应.利用液体对微振动的放大效应,求出了固体表面微振动的振幅,实现了固体表面微振动的探测.     

Locally ordered regions in the phase transition in the systems with a finite-range correlated quenched disorder

The locally ordered regions (LOR) in the phase transition in disordered systems are studied. There are two parts in this paper. One part is to report our numerical results on the one-dimensional saddle point equation of the Ginzburg-Landau Hamiltonian with random temperature in the presence of an ordering field. The disordered system is modelled as a lattice, on which each cell has a local reduced temperature. The random part of the local reduced temperature is distributed in the Gaussian form. The one-dimensional saddle point equation is solved numerically. The average, the fluctuation and the correlation length of the solution are calculated. The scaling relations for these quantities with the temperature, the ordering field and the disorder strength are derived. The numerical data are fitted with the scaling relations well. Another part is to discuss qualitatively the phase diagram of the finite-range correlated disordered systems. There are two proposed classes for the phase transition in connection with the LOR. One class is described by the percolative scenario, in which the phase transition is inhomogeneous. In the percolative scenario the percolation of the LOR dominates the phase transition. In another class, the phase transition is homogeneous, and can be described by the renormalization group (RG) with replica symmetry breaking (RSB). In the RG with RSB, there is nothing to do with the percolation of LOR. We shall show that these two theories, which seem contradictory, may describe two parts of the whole phase diagram. Whether the phase transition is homogeneous or inhomogeneous depends on the interaction between the LOR. If the interaction between the LOR is strong enough, the phase transition is percolative and inhomogeneous. If the interaction between the LOR is weak, the phase transition is homogeneous. The interaction between the LOR is discussed with the numerical solution on the saddle point equation.     

Detecting the long-distance structure of the X(3872)

Several investigations show that in a very small length scale there exist corrections to the entropy of black hole horizon. Due to fluctuations of the background metric and the external fields the action incorporates corrections. In the low energy regime, the one-loop effective action in four dimensions leads to trace anomaly. We start from the Noether current corresponding to the Einstein–Hilbert plus the one-loop effective action to calculate the charge for the diffeomorphisms which preserve the Killing horizon structure. Then a bracket for the charges is calculated. We show that the Fourier modes of the bracket are exactly similar to the Virasoro algebra. Then using the Cardy formula the entropy is evaluated. Finally, the explicit terms of the entropy expression is calculated for a classical background. It turns out that the usual expression for the entropy; i.e. the Bekenstein–Hawking form, is not modified.     

Computational analysis for dynamic response of a rotating shaft on flexible support structure with clearances

A finite element-based formulation for modelling the dynamic behavior of a rotating flexible shaft supported by a flexible support structure is presented. The coupling effect between the rigid-body rotation and the flexible deformation of the shaft is considered and represented by non-linear coupling terms in the mass matrix and forcing vectors in the global system of equations. The rigid-body rotation is treated as one of the degrees of freedom (d.o.f.) of the entire system. The interaction between the rotating shaft and the flexible support is modelled by either linear or non-linear springs distributed around the circumference of the shaft. The coupling between the flexibility of the shaft and the flexibility of the support structure are considered. The flexible d.o.f. of both the shaft and the support structure are represented as a set of retained and internal d.o.f. of a Craig-Bampton formulation. An additional transformation is performed when the rigid-body d.o.f. is coupled with the internal and the retained d.o.f. in a Craig-Bampton basis. The equations of motion are solved in the time domain using a modified Newmark method for time integration, in which the Newton-Raphson method is used for handling the non-linear behavior within each time step. Analyses are performed to validate the new development for different combinations of load condition, spring type, and rigid-body rotation.     

横场中非束缚类准周期伊辛链的赝临界点

本文系统地研究了有限尺寸下非束缚类准周期量子伊辛链在横场中的赝临界点的行为. 首先, 通过计算平均磁矩和协作参量, 发现这两个量的导数随着横场的变化都会出现两个清晰的峰. 这与束缚类伊辛链和无序伊辛链的结果明显不同. 其次, 研究了横场中赝临界点的概率分布情况, 发现概率分布并不是高斯型的. 这也与无序的结果不同. 最后, 分析了赝临界点产生的原因, 发现赝临界点是由非束缚类准周期伊辛链中的集团结构造成的.     

KUCLEON TWO-BODY DECAY AND THE RELATED BOUND STATE EFFECTS

A calculation on the rates and the branching ratios. of two-body decay of proton and neutron is presented in detail in this paper. A relativistic formalism based on the B.S. wave.functions is employed, to consider the bound state; effects of the quarks inside the nucleon automatically and completely. In order to solve the well-known Van Royen-Weisskopf's paradox occurring in nonrelativistic quark models, a B.S. wave function of mesons with a spin structure different from the Bargmann-Wigner's is accepted and as a result changes in the.branching-ratios and the rates are made, e.y. the K⁰π⁺ mode becomes the largest among the two-body modes for the proton decay and the rate. for the neutron decay decreases, with the effective interaction induced from. the minimum SU(5) model.     

Line-laser-based yarn shadow sensing break sensor

In this paper, a line-laser-based yarn break sensor is proposed. In the proposed sensor, yarns are illuminated by a line laser placed on one side of the yarn plane. A screen is placed on the other side and the image formed on the screen is detected by a camera. The total number of yarns is compared with the total number of shadows formed by the yarns or the total number of light spots formed due to the distances between yarns. If the total number of yarns to be detected is greater than the total number of shadows or light spots formed due to the distances between the yarns, the sensor warns of breaking. In the proposed method, evaluation is made using only light spots or shadows formed by the yarns. Consequently, the yarn type, structure, color, or dimensions do not affect the results.Design principles of the line-laser-based yarn break sensor, which consists of a screen and a Charged Coupled Device (CCD) camera, are presented. The screen displays the shadows formed by the yarns and the light spots formed due to the distances between them. The CCD camera detects the image on the screen. Formation of the shadows by the yarns is explained and an analytical formula that expresses the dimensions of the shadows is obtained. The detection area of the sensor is expressed relative to the total number of yarns, yarn thickness, and distances between the yarns. Line laser radiation angle and light spot intensity equations are obtained relative to the width of the detection area and the height of the line laser placement. The screen length is obtained relative to the number of yarns and the placement of the laser, the yarn plane, and the screen.Different placement situations of the line laser (transmitter), the screen, and the CCD camera (receiver) relative to the yarn plane are discussed. An experimental setup is developed to test the system. The image formed on the screen is studied.     

1,8-二巯基芘分子电学特性的理论研究

在第一性原理的基础上 ,对 1,8 二巯基芘分子的电学特性进行了理论研究 .采用了 3个Au原子构成的团簇来模拟Au表面 .首先利用密度泛函理论计算了 1,8 二巯基芘分子的电子结构及其和Au表面的相互作用 ,再利用前线轨道理论和微扰理论定量地确定了该分子和Au表面的相互作用能常数 .最后利用弹性散射格林函数法研究了该分子结的伏 安特性 .计算结果表明 ,分子中的硫原子和Au原子形成很强的共价键 .当外加偏压小于 1V时分子结存在电流禁区 ,随着偏压升高 ,分子结的电导出现平台结构 .分子结的电导特性和其电子结构密切相关 ,扩展分子轨道为电荷的迁移提供了通道 ,而局域轨道对电流贡献很小     

类氢原子核质量对电子状态的影响

在孤立的两体复合系统中,讨论其中一体的变化如何影响另一体的状态,有助于了解单粒子混合态与纯态的关系.本文讨论5个孤立的一维类氢原子模型系统,原子核的质量互不相同.这5个两体(电子与原子核)复合系统的相对运动状态都处于纠缠态,其中电子状态都用约化密度矩阵表示的混合态描述.在原子核质量趋近无穷大的一维氢原子模型中,电子处于纯态.为比较这里的纯态和混合态,在位置表象中计算了这些混合态的纯度、它们分别与纯态的保真度、以及所有这些态的相干性.研究表明,原子核的质量越大,纯度和保真度越接近1,混合态的相干性与纯态的也越接近.这样的纯态及其相干性可以是这种混合态及其相干性的近似,并与原子核及库仑相互作用有关.     

耳蜗中tip-link张力与静纤毛运动动力学研究

诠释耳蜗的主动感音放大机制一直是未解的医学难题.这种机制与耳蜗中外毛细胞顶端的静纤毛运动密切相关,静纤毛运动又受到tip-link张力与淋巴液流体力的调节.因此,研究静纤毛运动过程中tip-link张力是诠释耳蜗的主动感音放大机制的重要环节.本文把静纤毛视为变形体,基于泊肃叶流动理论并结合分布参数模型,推导了静纤毛运动的解析解.研究了盖膜剪切荷载作用下静纤毛和淋巴液相互作用的动力响应以及tip-link张力的变化规律.研究发现:当静纤毛的杨氏模量减小时,在小于峰值频率的区域,tip-link张力显著增大,f₂的峰值频率减小.以往的研究将静纤毛作为刚体,势必导致低频声音信号作用减弱.当系数c=0 (无黏性阻力)时,f₂频率选择特性存在;当μ=0(无压力)时,f₂频率选择特性消失,因此淋巴液可能是通过在静纤毛间产生压强的方式来调节毛束的频率特性的.另外,盖膜剪切荷载频率越高,静纤毛轴弯曲越明显,发束内外域的压强差也越大.     

Effect of the Polarization Force on the Dust–Acoustic Soliton Energy

The role the polarization force acting on dust particles may play on the energy carried by the dust‐acoustic (DA) soliton is examined. This force is due to the deformation of the Debye sheath around the dust particulates in the background of non‐uniform plasmas. The energy carried by the DA solitons is derived. This energy decreases with an increase in the effects of plasma‐dust particles polarization interaction. This means that when the magnitude of the polarization force approaches the one of the electrical force, i.e, the net force acting on the grains decreases, the DA soliton energy experiences a depletion. As noticed by Khrapak et al. [S.A. Khrapak et al., Phys. Rev. Lett. 102 , 245004 (2009)], when the polarization force dominates over the electrical one, the plasma can not support DA solitons. This happens whenever the dust grain size exceeds a critical threshold. In this case, the net force acting on the grains is no longer a restoring force. (© 2016 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

A numerical study of an expanding plasma of quarks in a chiral model

We numerically solve the transport equations for a quark gas described by the the Nambu-Jona-Lasinio model. The mean field equations of motion, which consist of the Vlasov equation for the density and the gap equation for the mean field, are discussed, and energy and momentum conservation are proven. Numerical solutions of the partial differential equations are obtained by applying finite difference methods. For an expanding fireball the light quark mass evolves from small values initially to the value of 350 MeV. This leads to a depletion of the high energy part of the quark spectrum and an enhancement at low momenta. When collisions are included one obtains an equation of the Boltzmann type, where the transition amplitudes depend on the properties of the medium. These equations are given for flavor SU(3), i.e. including strangeness. They are solved numerically in the relaxation time approximation and the time evolution of various observables is given. Medium effects in the relaxation times do not significantly influence the shape of the spectra. The mass of the strange quark changes little during the expansion. The strangeness yield and the slope temperatures of the final spectra are studied as a function of the size of the initial fireball.     

Features of radiation of the surface Stoneley wave by a harmonic force acting at the gas-solid interface

The solution is found for the problem of radiation of the surface Stoneley wave by a point harmonic force acting normally to the interface between uniform solid and gaseous half-spaces. We consider the case where the sound velocity in the gas is less than the Rayleigh-wave velocity on the surface of the solid. Expressions for the partial powers of the Stoneley wave radiated into the solid and the gas are obtained. The dependences of these powers on the parameters of the contacting media are analyzed. It is shown that if the velocities of the compressional and shear waves in the solid are significantly greater than the sound velocity in the gas, then almost all power of the Stoneley wave is concentrated in the gas. If the velocity of the Rayleigh wave in the solid half-space is close to the sound velocity in the gas, then the Stoneley-wave power radiated into the solid can be greater than the power radiated in the gas. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 51, No. 4, pp. 304–313, April 2008.     

1.5级跨音速压气机内部流场数值分析

本文以正在建设的1.5级跨音压气机试验台所采用的压气机为研究对象,利用NUMECA软件计算了该压气机在不同转速下的特性曲线,并在设计转速下,对其内部流场进行了分析研究.研究表明:激波位置和强度随压气机运行工况的变化而变化;在近失速工况和堵塞工况时,压气机内部流动出现分离;在设计工况时,压气机内部流动状况良好.上述结论,可以为试验台建设中,探头位置的确定和激光测窗位置的选取等提供指导和帮助.此外,该算例作为一盲解,将来同实验结果对比后,可以用来检验和校准CFD程序,为国内F级燃机设计平台的建设打下良好的基础.     

点堆传递函数模型问题分析

点堆模型通过线性化处理后,再经过拉普拉斯变换就得到传递函数模型。但分析发现,在稳定时假设反应性为零线性化处理后得到的传递函数模型有自身的问题。将对这类问题做一个概要性分析。分析方法是理论与实验相结合。理论分析借助系统动力学原理,重点在时域与频域结果的比较。实验方面则是基于工程参数借助计算机进行仿真实验,将时域和频域的仿真结果进行比较。通过比较分析,可以明显看到在稳定时假设反应性为零的点堆模型线性化处理存在的问题。针对该问题,指出了模型修改途径。     

缺陷铁纳米环体系的磁特性研究

采用Monte Carlo方法与快速傅里叶变换微磁学方法相结合的方式,模拟含不同缺陷的铁纳米环的磁滞回线、组态、剩磁等磁特性.研究发现:缺陷的大小与位置明显影响系统的磁化过程.当缺陷较小时,系统存在双稳态特征,此性质与无缺陷系统类似;当缺陷增大时,系统过渡状态增加,双稳态特征不再明显.进一步的研究发现,缺陷系统的剩磁随缺陷半径D的增大而增大.上述结果与非对称纳米环系统的磁特性类似,并可以通过零场状态下的系统自旋组态的变化加以解释.当系统圆心与缺陷中心的间距Y增加时,剩磁与Y的关系是非线性的:剩磁先随Y的增大而增大,后随Y的增大而减小.模拟结果可用零场状态下不同Y值的组态变化进行详细解释.上述研究结果表明,缺陷可以明显影响铁纳米环的磁特性.     

Wave localization in randomly disordered multi-coupled multi-span beams on elastic foundations

In this paper, the wave propagation and localization in randomly disordered periodic multi-span beams on elastic foundations are studied. For two kinds of beams, i.e. the multi-span beams on elastic foundations with periodic flexible and simple supports, the transfer matrices between two consecutive sub-spans are obtained by means of the continuity conditions. The algorithm for determining all the Lyapunov exponents in continuous dynamic systems presented by Wolf et al. is employed to calculate those in discrete dynamic systems. The localization factor characterizing the average exponential rates of growth or decay of wave amplitudes along the disordered beams is defined as the smallest positive Lyapunov exponent of the discrete dynamical system. The localization length that represents the distance of elastic waves propagating along the disordered periodic structures is defined as the reciprocal of the smallest positive Lyapunov exponent, i.e. the localization factor. For the two kinds of disordered periodic beams on elastic foundations, the numerical results of the localization factors are presented and analysed by comparing them with the results of the beams without elastic foundations to illustrate the effects of the elastic foundations on the wave propagation and localization. The effects of the disorder of span-length and the dimensionless torsional and linear spring stiffness on the localization factors are discussed. Moreover, the localization lengths are also calculated and discussed for certain structural parameters in disordered periodic structures. It can be observed from the results that ordered periodic multi-span beams have the characteristics of the frequency passbands and stopbands and the localization of elastic waves can occur in disordered periodic systems: the localization degree of elastic waves is strengthened with the increase of the coefficient of variation of the span-length. The influences of the elastic foundations on the wave propagation and localization are more complicated. Generally speaking, in lower-frequency regions the elastic foundations have pronounced effects on the spectral structures, but in higher-frequency regions the effects are negligible. The localization degree increases as the torsional spring stiffness increases. The linear spring has few effects on the spectral structures in higher-frequency regions, but in lower-frequency regions it has prominent effects. The larger the disorder degree, the shorter the non-dimensional localization length.     

双波段截止分色滤光片研究

为实现45°入射情况下K9基底上双波段截止分色的特性(截止带波长0.5~0.68μm、0.73~0.79μm,通带波长0.83~0.87μm),采用F-P型的带通滤光片膜系结构为初始结构,与常规设计理念相比有效减少了膜层的数量,薄膜的高折材料采用Ti O2,低折材料采用Si O2,以实现双波段截止的目的。膜层的设计层数为23层,总厚度为2.278μm,借助电子束蒸发物理气相沉积法实现了镀制,利用分光光度计对镀制样品的透过率进行评估。测试结果显示,截止区(0.5~0.68μm和0.73~0.79μm)平均截止深度分别达到了12.57%和20.39%,通带0.83~0.87μm波段内的平均透过率达到了91.35%,样品测试曲线与设计相比,"蓝移"将近10 nm。薄膜样品基本实现了设计目标,具有双波段截止、高通带透过率的特性。在环境测试中:薄膜表现出显著的稳定性,膜层间匹配度适宜。该双波段截止分色滤光片能够应用在一些极端的情况下。